2целых4/7:(0,5х-23/35)=7,5

Решите задачу:

$2 \frac{4}{7}:(0,5x- \frac{23}{35} )=7,5$
$0,5x- \frac{23}{35}=2 \frac{4}{7}:7,5$
$0,5x- \frac{23}{35}=2 \frac{4}{7}:7 \frac{1}{2}$
$0,5x- \frac{23}{35}= \frac{18}{7}* \frac{2}{15}$
$0,5x- \frac{23}{35}= \frac{6*2}{7*5}$
$0,5x- \frac{23}{35}= \frac{12}{35}$
$0,5x= \frac{12}{35}+ \frac{23}{35}$
$0,5x= \frac{12+23}{35}$
$0,5x= \frac{35}{35}$
$0,5x=1$
$x=1:0,5$
$x=2$